Analytical study of the piezoelastic behaviour of a laminated rectangular plate with piezoelectric layers and finite length is presented. The solution is obtained applying Fourier series expansion to the state-space equation. The plate is assumed to be simply supported at four edges. The stress, displacement, and electric potential distributions are obtained by solving these state equations. Both the direct and the inverse piezoelectric effects are investigated and the influence of pizieoelectric layers on the mechanical behaviour of plate is studied. The method is validated by comparing numerical results of the plate without piezoelectric layers with that available in the literature.
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References
1.
MindlinR. D.Equations of high frequency vibrations of thermopiezoelectric crystal plates. Int. J. Solids Struct., 1974, 10, 625–637.
2.
NowackiW.Some general theorems of thermopiezoelectricity. J. Therm. Stresses, 1978, 1, 171–182.
3.
WangB. T.RogersC. A.Laminated theory of spatially distributed induced strain actuators. J. Comp. Mater., 1991, 25, 433–453.
4.
CrawleyE. F.LazarusK. B.Induced strain actuation of isotropic and anisotropic plates. AIAA J., 1991, 29, 944–951.
5.
RayM. C.RaoK. M.SamantaB.Exact analysis of coupled electroelastic behavior of a piezoelectric plate under cylindrical bending. Comput. Struct., 1992, 45, 667–677.
6.
RayM. C.RaoK. M.SamantaB.Exact solution for static analysis of an intelligent structure under cylindrical bending. Comput. Struct., 1993, 47, 1031–1042.
7.
ChandrashekharaK.AgarwalA. N.Active vibration control of laminated composite plates using piezo-electric devices: A finite element approach. J. Intell. Mater. Syst. Struct., 1993, 4, 496–508.
8.
HwangW. S.ParkH. C.Finite element modeling of piezoelectric sensors and actuators. AIAA J., 1993, 31, 930–937.
9.
CrawleyF. E.Intelligent structures for aerospace: A technology overview and assessment. AIAA J., 1994, 32, 1689–1700.
AlessandroM.PaoloG.Multi-layer higher-order finit elements for the analysis of free-edge stresses in piezoelectric actuated laminates. Compos. Struct., 2004, 63, 263–270.
17.
LiewK. M.ZhangJ. Z.MeguidS. A.Three-dimensional analysis of the coupled thermo-piezoelectro-mechanical behaviour of multilayered plates using the differential quadrature technique. Int. J. Solids Struct., 2005, 42, 4239–4257.
18.
FanJ. R.YeJ. Q.An exact solution for the statics and dynamics of laminated thick plates with orthotropic layers. Int. J. Solids Struct., 1990, 26(56), 655–662.
19.
PervezT.SeibiA. C.Al-JahwariF. K. S.Analysis of thick orthotropic laminated composite plates based on higher order shear deformation theory. Compos. Struct. J., 2005, 71, 414–422.
